40038187296 has 384 divisors, whose sum is σ = 119924582400. Its totient is φ = 11628953600.

The previous prime is 40038187291. The next prime is 40038187309. The reversal of 40038187296 is 69278183004.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (40038187291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223676935 + ... + 223677113.

It is an arithmetic number, because the mean of its divisors is an integer number (312303600).

Almost surely, 2^40038187296 is an apocalyptic number.

40038187296 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40038187296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59962291200).

40038187296 is an abundant number, since it is smaller than the sum of its proper divisors (79886395104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40038187296 is a wasteful number, since it uses less digits than its factorization.

40038187296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 40038187296 in words is "forty billion, thirty-eight million, one hundred eighty-seven thousand, two hundred ninety-six".